For 51 10 19 32 23 47 67: σ=20.2308
If the standard deviation of 10 scores is zero, then all scores are the same.
Since the standard deviation is zero, the scores are all the same. And, since their mean is 10, they must all be 10.
T scores are also standardized norm scores, where the mean value is 50 and standard deviation value is 10, in contrast to Z scores where mean value is "0" and standard deviation value is 1. -Rama Reddy Karri
Variance = 17.9047619 Standard Deviation = 4.23140188
The deviation is 1694.
If the standard deviation of 10 scores is zero, then all scores are the same.
All the scores are equal
Since the standard deviation is zero, the scores are all the same. And, since their mean is 10, they must all be 10.
The answer depends on the degrees of freedom (df). If the df > 1 then the mean is 0, and the standard deviation, for df > 2, is sqrt[df/(df - 2)].
T scores are also standardized norm scores, where the mean value is 50 and standard deviation value is 10, in contrast to Z scores where mean value is "0" and standard deviation value is 1. -Rama Reddy Karri
[10, 10, 10, 10, 10, 10, 10] has a mean of 10 and a standard deviation of zero.
Mean: 26.33 Median: 29.5 Mode: 10, 35 Standard Deviation: 14.1515 Standard Error: 5.7773
Variance = 17.9047619 Standard Deviation = 4.23140188
Standard Deviation = (principal value of) the square root of Variance. So SD = 10.
The deviation is 1694.
Within 1 stdev of the mean - between 40 and 60.
It is 10.